Find the fourier series expansion for the signal x(t) given in figure 1 theoretically.
f=0.05Hz; T=20s; tau= 10s

please solve me these two questions and please solve it step by
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question 2
SIGNALS AND SYSTEMS 1. Find the rgonometric Fourier Series expansion of the following signal: (15 M) -A Q2. Find the complex Fourier series representation of an impulse train given as: (15 M) x(t) δ(t-2m) Which frequency coefficient Cn has the largest power? Plot x(O and Gr
SIGNALS AND SYSTEMS 1. Find the rgonometric Fourier Series...
6.3.6 Figure P6.3-6 shows the trigonometric Fourier spectra of a periodic signal x(t) a. By inspection of Fig. P6.3-6, find the trigonometric Fourier series representing x(t) D. By spectien of Eig P636 ketcir tne exponential Eourier spectra of x(t). Egunar specta obtained in part b find the expone Het Ferrer sense。「 X(t) 0, 1 2 3 4 Cn Figure P6.3-8
6.3.6 Figure P6.3-6 shows the trigonometric Fourier spectra of a periodic signal x(t) a. By inspection of Fig. P6.3-6, find...
1. We have a signal, x (t), with period of T - 2 second with the signal in one period given below: x(t)- ^x,(t+nT) wherex,) 1-2 (t - ) Kt<1 n=-oo 0 1/2 (a) Find the Fourier series coefficients for this signal. That is, find the values of ak so that x (t) Hint: te-jwt teJwt dt (b) Write some MATLAB code which will plot the signal resulting from a truncated Fourier Series using the coefficients you calculated in part...
The exponential Fourier series of a certain periodic signal is given as f(t) (2+j2) exp(-j300t) +j2 exp(-j10t) +3 -j2 exp^10t)+ (2-j2) expG300t) a. Find the compact trigonometric Fourier series of f(t). b. Find the bandwidth of the signal c. Find the Fourier Transform of f(t) d. Design a simple low pass filter (RC circuit) that reduces the amplitude of the highest frequency part oft(t) by at least 50%. Write down its H(0) and plot its spectrum. e. Plot the spectrum...
2 Find the esponential Fourier-series expansion of the periodic signal x(1 + 2π) = x(1)
Please solve parts d and e
The exponential Fourier series of a certain periodic signal is given as f(t) (2+j2) exp(-j300t)+j2 exp(-j10t) +3 -j2 exp(j10t) + (2-j2) exp(300t) a. Find the compact trigonometric Fourier series of f(t). b. Find the bandwidth of the signal c. Find the Fourier Transform of f(t). d. Design a simple low pass filter (RC circuit) that reduces the amplitude of the highest frequency part of f(t) by at least 50%. Write down its H(o) and...
signal and system
Find the trigonometric Fourier series coefficients for the following signal: f(t) 00 = 1 T/2 T 37/2 271
A periodic signal x(t) is shown below. We want to find the Fourier Series representation for this signal. x(t) AA -4 -2 1 2 4 6 8 (a) Find the period (T.) and radian frequency (wo) of (t). (b) Find the Trigonometric Series representation of X(t). These include: (a) Fourier coefficients ao, an, and bn ; (b) complete mathematical Fourier series expression for X(t); and (c) first five terms of the series.
The Fourier series of a periodic signal s(2) of period T can be expressed as k s(x) = cxexp ( 21 - where the coefficients Ck are given by 7/2 CR 1 T -T/2 | $(z) exp (-27 k -27=cdc T (i) Consider s(2) of period T = 6 and amplitude A= 2: 8(z) = 2 * |< T 2 Compute the Fourier coefficients ok. (ii) Use the identities exp(Trik) + exp(-rik) cos(Tk) = 2 sin(Tk) exp(Trik) – exp(-rik) 2i...
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Given find the Fourier transform of the following: (a) e dt 2T(2 1) 4 cos (2t) (Using properties of Fourier Transform to find) a) Suppose a signal m(t) is given by m()-1+sin(2 fm) where fm-10 Hz. Sketch the signal m(t) in time domain b) Find the Fourier transform M(jo) of m(t) and sketch the magnitude of M(jo) c) If m(t) is amplitude modulated with a carrier signal by x(t)-m(t)cos(27r f,1) (where fe-1000 Hz), sketch...